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In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :
- a)6 cm
- b)8 cm
- c)7 cm
- d)10 cm
- e)9 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In triangle PQR length of the side QR is less than twice the length of...
In Δ PQR,
QR +2 = 2PQ
QR = 2PQ - 2 ------- (2)
PR = PQ + 10 ----- (2)
Perimeter = 40 m
PQ + QR + Rp = 40
Putting the value of PQ and QR from equation (1) and (2),
Pq + 2PQ - 2 + PQ +10 = 40
4PQ = 32
PQ = 8 cm which is the smallest side of the triangle.
QR +2 = 2PQ
QR = 2PQ - 2 ------- (2)
PR = PQ + 10 ----- (2)
Perimeter = 40 m
PQ + QR + Rp = 40
Putting the value of PQ and QR from equation (1) and (2),
Pq + 2PQ - 2 + PQ +10 = 40
4PQ = 32
PQ = 8 cm which is the smallest side of the triangle.
Most Upvoted Answer
In triangle PQR length of the side QR is less than twice the length of...
Given:
- Length of QR < 2(pq)="" -="" />
- Length of PR = PQ + 10
- Perimeter of PQR = 40
To find:
- Length of smallest side of PQR
Solution:
Let's assume the length of PQ to be x.
From the given information, we can create two equations:
- QR < 2x="" -="" 2="" />
- PR = x + 10
We know that the perimeter of a triangle is the sum of all its sides.
So,
PQ + QR + PR = 40
Substituting the values of QR and PR from the above equations, we get:
x + (2x - 2) + (x + 10) = 40
Simplifying the above equation, we get:
4x + 8 = 40
4x = 32
x = 8
Therefore, the length of PQ is 8 cm.
To find the smallest side of the triangle, we need to compare PQ, QR, and PR.
- PQ = 8 cm
- QR < 2(8)="" -="" 2="14" cm="" />
- PR = 8 + 10 = 18 cm
Therefore, the smallest side of the triangle is PQ with a length of 8 cm.
Hence, the correct option is (B) 8 cm.
- Length of QR < 2(pq)="" -="" />
- Length of PR = PQ + 10
- Perimeter of PQR = 40
To find:
- Length of smallest side of PQR
Solution:
Let's assume the length of PQ to be x.
From the given information, we can create two equations:
- QR < 2x="" -="" 2="" />
- PR = x + 10
We know that the perimeter of a triangle is the sum of all its sides.
So,
PQ + QR + PR = 40
Substituting the values of QR and PR from the above equations, we get:
x + (2x - 2) + (x + 10) = 40
Simplifying the above equation, we get:
4x + 8 = 40
4x = 32
x = 8
Therefore, the length of PQ is 8 cm.
To find the smallest side of the triangle, we need to compare PQ, QR, and PR.
- PQ = 8 cm
- QR < 2(8)="" -="" 2="14" cm="" />
- PR = 8 + 10 = 18 cm
Therefore, the smallest side of the triangle is PQ with a length of 8 cm.
Hence, the correct option is (B) 8 cm.
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Community Answer
In triangle PQR length of the side QR is less than twice the length of...
Let Length of PQ be X.. length of PR = X + 10 , length of QR = 2X - 2...
X + X+10+2X-2 = 40
4X = 32
X = 8 , the other two sides Will be 18, 14.
8 is the smallest side, hence the correct answer..
X + X+10+2X-2 = 40
4X = 32
X = 8 , the other two sides Will be 18, 14.
8 is the smallest side, hence the correct answer..
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In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer?
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In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer?.
In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer?.
Solutions for In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :a)6 cmb)8 cmc)7 cmd)10 cme)9 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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